Curvature contents of geometric spaces.
Lohkamp, Joachim (1998)
Documenta Mathematica
Similarity:
Displaying similar documents to “Motion by curvature of networks with two triple junctions”
Curvature contents of geometric spaces.
Geometries of Curvature and Their Aesthetics
Brent Collins (2001)
Visual Mathematics
Similarity:
The mean curvature of the second fundamental form of a hypersurface.
Haesen, Stefan, Verpoort, Steven (2010)
Beiträge zur Algebra und Geometrie
Similarity:
On the Classification of Networks Self–Similarly Moving by Curvature
Pietro Baldi, Emanuele Haus, Carlo Mantegazza (2017)
Geometric Flows
Similarity:
We give an overview of the classification of networks in the plane with at most two triple junctions with the property that under the motion by curvature they are self-similarly shrinking. After the contributions in [7, 9, 20], such a classification was completed in the recent work in [4] (see also [3]), proving that there are no self-shrinking networks homeomorphic to the Greek “theta” letter (a double cell) embedded in the plane with two triple junctions with angles of 120 degrees....
Motion of spirals by crystalline curvature
Hitoshi Imai, Naoyuki Ishimura, TaKeo Ushijima (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
Similarity:
Modern physics theories claim that the dynamics of interfaces between the two-phase is described by the evolution equations involving the curvature and various kinematic energies. We consider the motion of spiral-shaped polygonal curves by its crystalline curvature, which deserves a mathematical model of real crystals. Exploiting the comparison principle, we show the local existence and uniqueness of the solution.
Fattening on two dimensions obtained with a nonsymmetric anisotropy: Numerical simulations.
Paolini, M. (1998)
Acta Mathematica Universitatis Comenianae. New Series
Similarity:
On the behaviour of the curvature lines in the neighbourhood of an isolated ombilic point
A. Szybiak (1964)
Annales Polonici Mathematici
Similarity:
A note on -curvature planes.
Iyigün, Esen (2002)
APPS. Applied Sciences
Similarity:
Singularity structure in mean curvature flow of mean-convex sets.
Colding, Tobias H., Kleiner, Bruce (2003)
Electronic Research Announcements of the American Mathematical Society [electronic only]
Similarity:
A lower bound for the i-th total absolute curvature of an immersion
Wolfgang Kühnel (1979)
Colloquium Mathematicae
Similarity:
Counterexample to the convexity of level sets of solutions to the mean curvature equation
Xu-Jia Wang (2014)
Journal of the European Mathematical Society
Similarity:
The convexity of level sets of solutions to the mean curvature equation is a long standing open problem. In this paper we give a counterexample to it.
Curvature Concentrations on the HIV-1 Capsid
Jiangguo Liu, Farrah Sadre-Marandi, Simon Tavener, Chaoping Chen (2015)
Molecular Based Mathematical Biology
Similarity:
It is known that the retrovirus capsids possess a fullerene-like structure. These caged polyhedral arrangements are built entirely from hexagons and exactly 12 pentagons according to the Euler theorem. Viral capsids are composed of capsid proteins, which create the hexagon and pentagon shapes by groups of six (hexamer) and five (pentamer) proteins. Different distributions of these 12 pentamers result in icosahedral, tubular, or conical shaped capsids. These pentamer clusters introduce...
Ovaloids with prescribed curvature of the second fundamental form
Christos Baikoussis, Themis Koufogiorgos (1988)
Colloquium Mathematicae
Similarity:
A singular example for the averaged mean curvature flow.
Mayer, Uwe F. (2001)
Experimental Mathematics
Similarity:
Structurally stable configurations of lines of mean curvature and umbilic points on surfaces immersed in R.
Ronaldo García, Jorge Sotomayor (2001)
Publicacions Matemàtiques
Similarity:
In this paper we study the pairs of orthogonal foliations on oriented surfaces immersed in R whose singularities and leaves are, respectively, the umbilic points and the lines of normal mean curvature of the immersion. Along these lines the immersions bend in R according to their normal mean curvature. By analogy with the closely related Principal Curvature Configurations studied in [S-G], [GS2], whose lines produce the extremal for the immersion, the pair of foliations by lines of...